The distance of two plenets from the sun are `10^(11) m` and `10^(10) m` respectively. What is the ratio of time period of these two planets ?

Explanation

To find the ratio of the time periods of two planets orbiting the sun, we can use Kepler's Third Law of Planetary Motion, which states that the square of the time period (T) of a planet is directly proportional to the cube of the semi-major axis (R) of its orbit. Mathematically, this can be expressed as:

\[ T^2 \propto R^3 \]

This means we can write:

\[ T = K \cdot R^{3/2} \]

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